To find the volume of the composite figure, we need to find the volume of both the rectangular prism and the cube, and then add them together.
Volume of the rectangular prism:
Volume = length x width x height
Volume = 11 inches x 3 inches x 4 inches
Volume = 132 cubic inches
Volume of the cube:
Volume = side length x side length x side length
Volume = 3 inches x 3 inches x 3 inches
Volume = 27 cubic inches
Total volume of the composite figure:
Total volume = volume of rectangular prism + volume of cube
Total volume = 132 cubic inches + 27 cubic inches
Total volume = 159 cubic inches
Therefore, the volume of the composite figure is 159 cubic inches.
Use the image to answer the question.
An illustration shows a rectangular prism with a cube placed on top. The cube is 3 inches on all sides. The rectangular prism is 11 inches long and 4 inches high.
What is the volume of the composite figure?
(1 point)
in.3
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